Home
/
Physics
/
Equation F_(lift)=(rho _(out)-rho _(in))times Vtimes g A hot air balloon has a volume of 2500 cubic meters. The density of the air outside the balloon is 1.225kg/m^wedge 3 and the density of the hot air inside the balloon is 0.95kg/m^wedge 3 Using the gravitational constant 10m/s^wedge 2 calculate the following: 1. Calculate the lifting force in newtons using F_(lift)=(rho _(out)-rho _(in))times Vtimes g 2. Convert newtons to kg by dividing your answer by 10 then tell me how many kilograms of weight the hot air balloon can carry.

Question

Equation F_(lift)=(rho _(out)-rho _(in))times Vtimes g
A hot air balloon has a volume of 2500 cubic meters. The density of the air outside the balloon is
1.225kg/m^wedge 3 and the density of the hot air inside the balloon is 0.95kg/m^wedge 3 Using the
gravitational constant 10m/s^wedge 2 calculate the following:
1. Calculate the lifting force in newtons using F_(lift)=(rho _(out)-rho _(in))times Vtimes g
2. Convert newtons to kg by dividing your answer by 10 then tell me how many kilograms
of weight the hot air balloon can carry.

Equation F_(lift)=(rho _(out)-rho _(in))times Vtimes g A hot air balloon has a volume of 2500 cubic meters. The density of the air outside the balloon is 1.225kg/m^wedge 3 and the density of the hot air inside the balloon is 0.95kg/m^wedge 3 Using the gravitational constant 10m/s^wedge 2 calculate the following: 1. Calculate the lifting force in newtons using F_(lift)=(rho _(out)-rho _(in))times Vtimes g 2. Convert newtons to kg by dividing your answer by 10 then tell me how many kilograms of weight the hot air balloon can carry.

expert verifiedVerification of experts

Answer

4.3273 Voting
avatar
CedricMaster · Tutor for 5 years

Answer

1. Calculate the lifting force in newtons:<br />\[ F_{lift} = (1.225 \, \text{kg/m}^3 - 0.95 \, \text{kg/m}^3) \times 2500 \, \text{m}^3 \times 10 \, \text{m/s}^2 \]<br />\[ F_{lift} = (0.275 \, \text{kg/m}^3) \times 2500 \, \text{m}^3 \times 10 \, \text{m/s}^2 \]<br />\[ F_{lift} = 6875 \, \text{N} \]<br /><br />2. Convert newtons to kilograms:<br />\[ \text{Weight the balloon can carry} = \frac{6875 \, \text{N}}{10} \]<br />\[ \text{Weight the balloon can carry} = 687.5 \, \text{kg} \]<br /><br />Thus, the hot air balloon can carry 687.5 kilograms of weight.

Explain

To calculate the lifting force, we use the given formula \(F_{lift} = (\rho_{out} - \rho_{in}) \times V \times g \). Here, \(\rho_{out}\) is the density of the air outside the balloon, \(\rho_{in}\) is the density of the hot air inside the balloon, \(V\) is the volume of the balloon, and \(g\) is the gravitational constant. After calculating the lifting force in newtons, we convert it to kilograms by dividing by 10 (since \(1 \, \text{N} = 1 \, \text{kg} \cdot \text{m/s}^2\)).
Click to rate:

Hot Questions

More x